On the Nielsen-Schreier Theorem in Homotopy Type Theory
We give a formulation of the Nielsen-Schreier theorem (subgroups of free groups are free) in homotopy type theory using the presentation of groups as pointed connected 1-truncated types. We show the special case of finite index subgroups holds constructively and the full theorem follows from the axi...
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| Format: | Article |
| Language: | English |
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Logical Methods in Computer Science e.V.
2022-01-01
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| Series: | Logical Methods in Computer Science |
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| Online Access: | https://lmcs.episciences.org/7676/pdf |